Algebro- Geometric Solutions of the Harry Dym Hierarchy

被引：2
|
作者：
Li, Zhu [1 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, 237 Nanhu Rd, Xinyang 464000, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2017年 / 18卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Harry Dym hierarchy; hyperelliptic curve; algebro-geometric solutions; FLOWS; SOLITONS;
D O I：
10.1515/ijnsns-2016-0057
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The Harry Dym hierarchy is derived with the help of Lenard recursion equations and zero curvature equation. Based on the Lax matrix, an algebraic curve K-n of arithmetic genus n is introduced, from which the corresponding meromorphic function phi and Dubrovin- type equations are given. Further, the divisor and asymptotic properties of phi are studied. Finally, algebro- geometric solutions for the entire hierarchy are obtained according to above results and the theory of algebraic curve.
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页码：129 / 136
页数：8
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